105220456 has 32 divisors (see below), whose sum is σ = 215784000. Its totient is φ = 47703040.

The previous prime is 105220447. The next prime is 105220471. The reversal of 105220456 is 654022501.

It is a super-2 number, since 2×105220456² = 22142688721695872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105220456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38181 + ... + 40843.

It is an arithmetic number, because the mean of its divisors is an integer number (6743250).

Almost surely, 2^105220456 is an apocalyptic number.

It is an amenable number.

105220456 is an abundant number, since it is smaller than the sum of its proper divisors (110563544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105220456 is a wasteful number, since it uses less digits than its factorization.

105220456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105220456 is about 10257.7022768259. The cubic root of 105220456 is about 472.0993399067.

Adding to 105220456 its reverse (654022501), we get a palindrome (759242957).

The spelling of 105220456 in words is "one hundred five million, two hundred twenty thousand, four hundred fifty-six".